Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
370 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 89 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #14583382 | C2 | semidirect |
| 3. #14582905 | C2 | semidirect |
| 4. #14582801 | C2 | semidirect |
| 5. #14582667 | C2 | semidirect |
| 6. #14582659 | C2 | semidirect |
| 7. C2×#104×C43 | C2 | semidirect |
| 10. #13063350 | C4 | semidirect |
| 46. C2×D172 | C2×C4 | semidirect |
| 65. #10621877 | C2×C4 | semidirect |
| 75. Q8×C43 | C22⋊C4 | semidirect |
| 79. D4×C43 | C22⋊C4 | semidirect |
| 135. C2×#104 | D43 | semidirect |
| 140. C43 | #1883 | semidirect |
| 208. Q8 | (C2×D43)⋊C4 | semidirect |
| 216. D4 | (C2×D43)⋊C4 | semidirect |